The number 28324
28324 is a composite number with 12 divisors. Its prime factorisation is × 73 × 97. Divisors (12): 1, 2, 4, 73, 97, 146, 194, 292, 388, 7081, 14162, 28324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28324: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28324 is composite. Its prime factorisation is
- 3
The divisors add up to 50764; without 28324 itself that is 22440, so 28324 is deficient (22440 is less than 28324). Euler's totient φ(28324) = 13824 numbers up to 28324 share no factor with it.
- 4
The digits of 28324 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28324 = 2^{2} \times 73 \times 97 \]28324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50764 |
| Euler totient φ(n) | 13824 |
| Square | 802248976 |
| Cube | 22722899996224 |
| Square root | 168.297356 (= 2√7081) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.8324 × |
28324 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand three hundred and twenty-four |
| Binary (base 2) | 110111010100100 |
| Octal (base 8) | 67244 |
| Hexadecimal (base 16) | 6EA4 |
| Base 3 | 1102212001 |
| As time | 28324 seconds = 7 h 52 min 4 s |
Is 28324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28324 ÷ 2 = 14162) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28324 ÷ 4 = 7081) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28324 a prime number?
No. 28324 = × 73 × 97, so it is divisible by 2.
What are the factors of 28324?
1, 2, 4, 73, 97, 146, 194, 292, 388, 7081, 14162, 28324.
What is 28324 in binary?
110111010100100 (hexadecimal 6EA4, octal 67244).
What is the square root of 28324?
About 168.2974, exactly 2√7081.
Is 28324 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 28324?
28324 is a happy number: repeatedly adding the squares of its digits reaches 1.